253,951 research outputs found
L-P error estimates and superconvergence for covolume or finite volume element methods
No full textWe consider convergence of the covolume or finite volume element solution to linear elliptic and parabolic problems. Error estimates and superconvergence results in the L-p norm, 2 less than or equal to p less than or equal to infinity, are derived. We also show second-order convergence in the L-p norm between the covolume and the corresponding finite element solutions and between their gradients. The main tools used in this article are an extension of the "supercloseness" results in Chou and Li [Math Comp 69(229) (2000), 103-120] to the L-p based spaces, duality arguments, and the discrete Green's function method. (C) 2003 Wiley Periodicals, Inc
On the Modal Testing of Microstructures: Its Theoretical Approach and Experimental Setup
No full textA general framework for constructing and analyzing mixed finite volume methods on quadrilateral grids: The overlapping covolume case
No full textWe present a general framework for constructing and analyzing finite volume methods applied to the mixed formulation of second-order elliptic problems on quadrilateral grids. The control volumes, or covolumes, in the grids overlap. An overlapping finite volume method of this type was first introduced by Russell in [T. F. Russell, Tech. report 3, Reservoir Simulation Research Corp., Tulsa, OK, 1995] and was tested for a variety of problems on rectangular and quadrilateral grids in [Z. Cai et al., Comput Geosci., 1 (1997), pp. 289-315]. Later in [S. H. Chou and D. Y. Kwak, SIAM J. Numer. Anal., 37 (2000), pp. 758-771], Chou and Kwak reformulated it as their mixed covolume method and proved optimal order error estimates using the covolume methodology from [S. H. Chou, Math. Comp., 66 (1997), pp. 85-104] and [S. H. Chou and D. Y. Kwak, SIAM J. Numer. Anal., 35 (1998), pp. 494-507]. However, their treatment was restricted to the case of diagonal coefficient tensor and rectangular grids since a different approach was needed for the quadrilateral (distorted rectangular) case. In this paper we give a new framework, which can handle not only the rectangular anisotropic case but also the anisotropic and irregular grid cases in which the locally supported test functions are images of the natural unit coordinate vectors under the Piola transformation. Our theory sheds light on how to create new test functions using quadratures and now covers Russell's quadrilateral case
Study on the Residual Wall Thickness at Dimensional Transitions and Curved Sections in Gas-Assisted Injection Molded Circular Tubes
No full textLeptocentrus florifacialis Yuan in Yuan & Chou 2002
No full text(correct original spelling) also spelled as Leptocentrus florifoscialis Yuan & Chou, 2002:505 and Leptocentrus florifascialis Yuan & Chou, 2002:506 (incorrect original spellings). Note: We here fix the correct original spelling acting as First Reviser (ICZN article 24.2.3).Published as part of Dmitriev, Dmitry A. & Deitz, Lewis L., 2017, Nomenclatural changes in the family Membracidae (Hemiptera, Auchenorrhyncha, Membracoidea) in Zootaxa 4365 (1), DOI: 10.11646/zootaxa.4365.1.7, http://zenodo.org/record/112531
Social organization of Risso's Dolphin, Grampus griseus, in Coastal Waters of Central-Eastern Taiwan
No full text
On Ch'êng-Chou, the Metropolis of Chou
Full text linkThere have been two conflicting opinions concerning the relationship between Ch’êng-chou 成周 and Wang-ch’êng 王城, which allegedly both were the capitals of Chou China. One opinion says that they were situated at two different places, identifying Ch’êng-chou with Old Lo-yang 故洛陽 and Wang-ch’êng with Ho-nan 河南 of the Latter Han times; while the other maintains that both names were two different designations of the same city, Wang-ch’êng being applied to the royal quarter within Ch’êng-chou. Since the latter Han most scholars held the former view, which is supported also by modern Chinese archaeologists writing about recent investigation on the ruins of Wang-ch’êng. Mr. CH’ÊN, another Chinese scholar who studied bronze inscriptions of Western Chou period, adopts the same view in his writings. The latter theory of identifying the two names has been adhered to by a few scholars of Sung times and afterward.After carefully examining the two opinions, as well as the data found in archaeological reports and bronze inscriptions, the present writer has arrived at the following conclusions: (l) Ch’êng-Chou comprised Lo-i 洛邑 built by the Duke of Chou and where the royal palace was, and its neighborhood extending up to Mt. Mang-shan 邙山 in the north and the Lo River 洛水 in the south, including both the eastern and western banks of the Ch’ien River 壥水; (2) during the Ch’un-ch’iu period, the name Ch’êng-Chou came to mean the place whereOld Lo-yang was to be situated later, on the eastern banks of Ch’ien River, opposite to Wang-ch’êng on the western; (3) Such evolution of Old Lo-yang was one of the examples of the development of new commercial cities which appeared in ancient China since the middle part of the Ch’un-ch’iu period; (4) Ch’êng-chou, of which building is mentioned in Tso-chuan under the 32nd year of Chao-kung (510 B. C.), was this newly-developed city, Old Lo-yang, and was no longer the territory referred to under the same name at the beginning of western Chou period.journal articl
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